Respuesta :

Hey there! :D

We will use the properties of similar triangles to figure this out. 

We will use two triangles inside the kite, with sides with the value of "x". 

Smaller triangle:

Smaller side= 11

Bottom side= x

Bigger triangle:

Smaller side= x

Bottom side= 25

[tex] \frac{11}{x} = \frac{x}{25} [/tex]

Cross multiply. 

25*11= 275

x*x= [tex] x^{2} [/tex]

Find the square root. 

√275= 16.583.... 

Or 5√11. 

I hope this helps!
~kaikers

Answer:

5√11

Step-by-step explanation: